Level sets regularization with application to optimization problems

Abstract Given a coupling function c and a non empty subset of R, we define a closure operator. We are interested in extended real-valued functions whose sub-level sets are closed for this operator. Since this class of functions is closed under pointwise suprema, we introduce a regularization for ex...

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Detalles Bibliográficos
Autores principales:	Barro,Moussa, Traore,Sado
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2020
Materias:	Duality regularization level sets c-elementary functions polarity conjugacy
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000100137
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id	oai:scielo:S0719-06462020000100137
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spelling	oai:scielo:S0719-064620200001001372020-04-24Level sets regularization with application to optimization problemsBarro,MoussaTraore,Sado Duality regularization level sets c-elementary functions polarity conjugacy Abstract Given a coupling function c and a non empty subset of R, we define a closure operator. We are interested in extended real-valued functions whose sub-level sets are closed for this operator. Since this class of functions is closed under pointwise suprema, we introduce a regularization for extended real-valued functions. By decomposition of the closure operator using polarity scheme, we recover the regularization by bi-conjugation. We apply our results to derive a strong duality for a minimization problem.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.22 n.1 20202020-04-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000100137en10.4067/S0719-06462020000100137
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Duality regularization level sets c-elementary functions polarity conjugacy
spellingShingle	Duality regularization level sets c-elementary functions polarity conjugacy Barro,Moussa Traore,Sado Level sets regularization with application to optimization problems
description	Abstract Given a coupling function c and a non empty subset of R, we define a closure operator. We are interested in extended real-valued functions whose sub-level sets are closed for this operator. Since this class of functions is closed under pointwise suprema, we introduce a regularization for extended real-valued functions. By decomposition of the closure operator using polarity scheme, we recover the regularization by bi-conjugation. We apply our results to derive a strong duality for a minimization problem.
author	Barro,Moussa Traore,Sado
author_facet	Barro,Moussa Traore,Sado
author_sort	Barro,Moussa
title	Level sets regularization with application to optimization problems
title_short	Level sets regularization with application to optimization problems
title_full	Level sets regularization with application to optimization problems
title_fullStr	Level sets regularization with application to optimization problems
title_full_unstemmed	Level sets regularization with application to optimization problems
title_sort	level sets regularization with application to optimization problems
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000100137
work_keys_str_mv	AT barromoussa levelsetsregularizationwithapplicationtooptimizationproblems AT traoresado levelsetsregularizationwithapplicationtooptimizationproblems
_version_	1714206806253764608

Level sets regularization with application to optimization problems

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